Question

"Andre is preparing for the school play and needs to paint the cardboard castle backdrop that measures 13 1/4 long by 6 feet tall by 4 feet wide. How much cardboard does Andre need to paint for the castle backdrop?

A) 13 1/4 sq ft
B) 104 sq ft
C) 81 1/4 sq ft
D) 52 sq ft

Answer 1

To calculate the cardboard needed for the castle backdrop, the area formula (length × height) is used. After converting the length to decimal form (13.25 feet), multiplying by the height (6 feet) results in 79.5 square feet, which doesn't match any of the provided options.

Step-by-step explanation:

To calculate the amount of cardboard Andre needs to paint for the castle backdrop, we must find the surface area of the backdrop. The backdrop is a rectangular prism, where the dimensions provided are the length, height, and width. As the backdrop is essentially a flat surface, only the length and height are used to calculate the surface area to be painted.

The length of the backdrop is 13 1/4 feet or 13.25 feet when converted into decimal form, and the height is 6 feet. The formula for finding the area of a rectangle is length × height.

Step-by-step calculation:

1. 
   
3. Convert the length to decimal form: 13 1/4 = 13.25 feet.
4. 
   
6. Use the area formula: Area = length × height = 13.25 feet × 6 feet.
7. 
   
9. Multiply the length by the height: 13.25 × 6 = 79.5 square feet.

Since none of the options provided matches 79.5 square feet, which is the correct answer, it seems that there is an error in the options given for the question. If there's a possibility of a typo in the original question, Andre should re-evaluate the dimensions or the options provided.